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Properties of the Number 6741

Six Thousand Seven Hundred Forty-One

Basics

Value: 6740 → 6741 → 6742

Parity: odd

Prime: No

Previous Prime: 6737

Next Prime: 6761

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 2 × 7 × 107

Divisors: 1, 3, 7, 9, 21, 63, 107, 321, 749, 963

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101001010101

Octal: 15125

Duodecimal: 3A99

Hexadecimal: 1a55

Square: 45441081

Square Root: 82.10359310042405

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions of n in which no parts are multiples of 3. A726
T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 0,-1 0,2 1,0 or -1,0. A264257
Number of integer partitions of n with all equal lengths of maximal gapless runs (decreasing by 0 or 1). A384887
Number of odd terms in fn, where f = x4*y4 + x4*y3 + x3*y4 + x4*y2 + x2*y4 + x4*y + x3*y2 + x2*y3 + x·y4 + x4 + x2*y2 + y4 + x3 + x2*y + x·y2 + y3 + x2 + y2 + x + y + 1. A246034
Matrix inverse of the Narayana triangle A001263. A103364
T(n,k)=Number of arrays of -k..k integers x(1..n) with every x(i) being in a substring of length 1 or 2 with sum zero. Array listed by antidiagonals. A193648
Numbers primitive with respect to having more than one factorization into S-primes. See related sequences for definition. A57950
Trajectory of n under the Reverse and Add! operation carried out in base 3 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A77405
T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A299249
Number of compositions (ordered partitions) of n into distinct parts >= 6. A339104